5(3x-2)=(2x-1)

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Solution for 5(3x-2)=(2x-1) equation:


Simplifying
5(3x + -2) = (2x + -1)

Reorder the terms:
5(-2 + 3x) = (2x + -1)
(-2 * 5 + 3x * 5) = (2x + -1)
(-10 + 15x) = (2x + -1)

Reorder the terms:
-10 + 15x = (-1 + 2x)

Remove parenthesis around (-1 + 2x)
-10 + 15x = -1 + 2x

Solving
-10 + 15x = -1 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-10 + 15x + -2x = -1 + 2x + -2x

Combine like terms: 15x + -2x = 13x
-10 + 13x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 13x = -1 + 0
-10 + 13x = -1

Add '10' to each side of the equation.
-10 + 10 + 13x = -1 + 10

Combine like terms: -10 + 10 = 0
0 + 13x = -1 + 10
13x = -1 + 10

Combine like terms: -1 + 10 = 9
13x = 9

Divide each side by '13'.
x = 0.6923076923

Simplifying
x = 0.6923076923

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